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Thermalization in the one-dimensional Salerno model lattice

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2021
PeerReviewed_Accepted_Manuscript [PDF] (4.004Mb)
Authors
Mithun, Thudiyangal
Maluckov, Aleksandra
Manda, Bertin Many
Skokos, Charalampos
Bishop, Alan
Saxena, Avadh
Khare, Avinash
Kevrekidis, Panayotis G
Article (Accepted Version)
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Abstract
The Salerno model constitutes an intriguing interpolation between the integrable Ablowitz-Ladik (AL) model and the more standard (nonintegrable) discrete nonlinear Schrödinger (DNLS) one. The competition of local on-site nonlinearity and nonlinear dispersion governs the thermalization of this model. Here, we investigate the statistical mechanics of the Salerno one-dimensional lattice model in the nonintegrable case and illustrate the thermalization in the Gibbs regime. As the parameter interpolating between the two limits (from DNLS toward AL) is varied, the region in the space of initial energy and norm densities leading to thermalization expands. The thermalization in the non-Gibbs regime heavily depends on the finite system size; we explore this feature via direct numerical computations for different parametric regimes.
Source:
Physical Review E, 2021, 103, 3, 032211-
Funding / projects:
  • National Science Foundation - NSF [DMS-1809074]
  • Ministry of Education, Science and Technological Development, Republic of Serbia, Grant no. 200017 (University of Belgrade, Institute of Nuclear Sciences 'Vinča', Belgrade-Vinča) (RS-200017)
  • ational Research Foundation (NRF) of South Africa
  • Indian National Science Academy (INSA)
  • United States Department of Energy (DOE) [DEAC52-06NA25396]
Note:
  • This is the peer-reviewed version of the article: Mithun, T., Maluckov, A., Manda, B. M., Skokos, C., Bishop, A., Saxena, A., ... & Kevrekidis, P. G. (2021). Thermalization in the one-dimensional Salerno model lattice. Physical Review E, 103(3), 032211. http://dx.doi.org/10.1103/PhysRevE.103.032211
  • Link at arXiv.org: https://arxiv.org/abs/2012.03652
Related info:
  • Version of
    http://dx.doi.org/10.1103/PhysRevE.103.032211
  • Version of
    https://vinar.vin.bg.ac.rs/handle/123456789/9658

DOI: 10.1103/PhysRevE.103.032211

ISSN: 2470-0045

PubMed: 33862787

WoS: 000650940100001

Scopus: 2-s2.0-85104452759
[ Google Scholar ]
1
1
URI
https://vinar.vin.bg.ac.rs/handle/123456789/9660
Collections
  • Radovi istraživača
  • 040 - Laboratorija za atomsku fiziku
Institution/Community
Vinča
TY  - JOUR
AU  - Mithun, Thudiyangal
AU  - Maluckov, Aleksandra
AU  - Manda, Bertin Many
AU  - Skokos, Charalampos
AU  - Bishop, Alan
AU  - Saxena, Avadh
AU  - Khare, Avinash
AU  - Kevrekidis, Panayotis G
PY  - 2021
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9660
AB  - The Salerno model constitutes an intriguing interpolation between the integrable Ablowitz-Ladik (AL) model and the more standard (nonintegrable) discrete nonlinear Schrödinger (DNLS) one. The competition of local on-site nonlinearity and nonlinear dispersion governs the thermalization of this model. Here, we investigate the statistical mechanics of the Salerno one-dimensional lattice model in the nonintegrable case and illustrate the thermalization in the Gibbs regime. As the parameter interpolating between the two limits (from DNLS toward AL) is varied, the region in the space of initial energy and norm densities leading to thermalization expands. The thermalization in the non-Gibbs regime heavily depends on the finite system size; we explore this feature via direct numerical computations for different parametric regimes.
T2  - Physical Review E
T1  - Thermalization in the one-dimensional Salerno model lattice
VL  - 103
IS  - 3
SP  - 032211
DO  - 10.1103/PhysRevE.103.032211
ER  - 
@article{
author = "Mithun, Thudiyangal and Maluckov, Aleksandra and Manda, Bertin Many and Skokos, Charalampos and Bishop, Alan and Saxena, Avadh and Khare, Avinash and Kevrekidis, Panayotis G",
year = "2021",
abstract = "The Salerno model constitutes an intriguing interpolation between the integrable Ablowitz-Ladik (AL) model and the more standard (nonintegrable) discrete nonlinear Schrödinger (DNLS) one. The competition of local on-site nonlinearity and nonlinear dispersion governs the thermalization of this model. Here, we investigate the statistical mechanics of the Salerno one-dimensional lattice model in the nonintegrable case and illustrate the thermalization in the Gibbs regime. As the parameter interpolating between the two limits (from DNLS toward AL) is varied, the region in the space of initial energy and norm densities leading to thermalization expands. The thermalization in the non-Gibbs regime heavily depends on the finite system size; we explore this feature via direct numerical computations for different parametric regimes.",
journal = "Physical Review E",
title = "Thermalization in the one-dimensional Salerno model lattice",
volume = "103",
number = "3",
pages = "032211",
doi = "10.1103/PhysRevE.103.032211"
}
Mithun, T., Maluckov, A., Manda, B. M., Skokos, C., Bishop, A., Saxena, A., Khare, A.,& Kevrekidis, P. G.. (2021). Thermalization in the one-dimensional Salerno model lattice. in Physical Review E, 103(3), 032211.
https://doi.org/10.1103/PhysRevE.103.032211
Mithun T, Maluckov A, Manda BM, Skokos C, Bishop A, Saxena A, Khare A, Kevrekidis PG. Thermalization in the one-dimensional Salerno model lattice. in Physical Review E. 2021;103(3):032211.
doi:10.1103/PhysRevE.103.032211 .
Mithun, Thudiyangal, Maluckov, Aleksandra, Manda, Bertin Many, Skokos, Charalampos, Bishop, Alan, Saxena, Avadh, Khare, Avinash, Kevrekidis, Panayotis G, "Thermalization in the one-dimensional Salerno model lattice" in Physical Review E, 103, no. 3 (2021):032211,
https://doi.org/10.1103/PhysRevE.103.032211 . .

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